The paradox at the heart of mathematics: Gödel's Incompleteness Theorem - Marcus du Sautoy

rayon on Instagram: "Science, for all its triumphs, often behaves like a hypocrite when confronted with its own limits. It proudly dethroned religion for failing to explain the universe, yet when faced with questions it cannot answer—like how something emerges from nothing—it invents convenient narratives instead of admitting ignorance. Gödel’s incompleteness theorems showed that no axiomatic system powerful enough to describe mathematics can ever prove all truths within itself. There will alway